7671624 divided by 434 
We're looking to find how many times 434 goes into 7671624.

Going ahead to step 1:
7 divided by 434 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 434

On to step 2:
The number 434 fits into 76 0 times, leaving a remainder of 76.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 76, we get 76.
Bring next digit (7) of the dividend behind the 76 and repeat the process: 767 / 434

Advancing to step 3:
If we divide 767 by 434, we get 1 and a remainder of 333.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 434 from 767 leaves us with 333.
Grab the next digit (1) from the dividend, add it to 333, then carry on: 3331 / 434

On to step 4:
When dividing 3331 by 434, we get 7 with a remainder of 293.
The next digit of our result is 7. 
Result so far: 17.0
Subtracting 3038 from 3331 leaves us with 293.
Grab the next digit (6) from the dividend, add it to 293, then carry on: 2936 / 434

On to step 5:
When dividing 2936 by 434, we get 6 with a remainder of 332.
The next digit of our result is 6. 
Result so far: 176.0
Subtracting 2604 from 2936 leaves us with 332.
Append the next digit (2) from the dividend to 332 and continue with: 3322 / 434

Moving on to step 6:
When dividing 3322 by 434, we get 7 with a remainder of 284.
The number 7 becomes the next digit in our result. 
Result so far: 1767.0
If we subtract 3038 from 3322, we get 284.
Include the next digit (4) from the dividend after 284, then repeat: 2844 / 434

Step 7:
434 can be fit into 2844 6 times, resulting in a remainder of 240.
Use 6 as the next digit of our solution. 
Result so far: 17676.0
The remainder is 240 after subtracting 2604 from 2844.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Step 8:
2400 divided by 434 is 5 with a remainder of 230.
The number 5 becomes the next digit in our result. 
Result so far: 17676.5
Subtract 2170 from 2400 to get 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2300, and continue the process.

On to step 9:
The number 434 fits into 2300 5 times, leaving a remainder of 130.
Put 5 as the next digit of the answer. 
Result so far: 17676.55
Subtract 2170 from 2300 to get 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

The final result is 17676.55 with a remainder of 0.13.